We give a construction which is Lie theoretic of anti-invariant Riemannian submersions from almost Hermitian manifolds, from quaternion manifolds, from para-Hermitian manifolds, from para-quaternion manifolds, and from octonian manifolds. This yields many compact Einstein examples.
Taiwanese J. Math.
20(4):
787-800
(2016).
DOI: 10.11650/tjm.20.2016.6898